Calculation of Bending Stiffness and its First Derivatives Related to Optimization of a Steel-Reinforced Concrete Cross Section

Jakub Venclovský; Petr Stepanek

doi:10.4028/www.scientific.net/SSP.249.253

Paper Titles

Experimental Evaluation of Properties of 120 Years Old Concretes at Two Concrete Bridges in Slovakia
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Dynamic Characteristics of Multi-Story Reinforced Concrete Buildings
p.235

Design of Ceiling Structures with Regards to Deflection
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Modelling of Hygro-Thermal Processes in Steel-Concrete Composite Columns Exposed to High Temperatures
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Calculation of Bending Stiffness and its First Derivatives Related to Optimization of a Steel-Reinforced Concrete Cross Section
p.253

Experimental Tests of I Profile Made from UHPC Reinforced with Textile Glass Fibres
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Application of UHPC Joints in Precast Structures
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Concrete Cover Effect on Bond Behaviour of UHPC
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Influence of Static and Dynamic Loads on the Behavior of Prestressed Concrete Railway Sleepers
p.278

HomeSolid State PhenomenaSolid State Phenomena Vol. 249Calculation of Bending Stiffness and its First...

Calculation of Bending Stiffness and its First Derivatives Related to Optimization of a Steel-Reinforced Concrete Cross Section

Abstract:

This article focuses on creating an algorithm for the calculation of bending stiffness of an arbitrary polygonal cross section, including the first derivatives of this stiffness with respect to all the input variables. The coordinates of vertices of the cross section are also among these input variables. The algorithm is in principle based on dividing the cross section into trapezoids, calculating zero, first and second moment of area of these trapezoids, including partial derivatives with respect to all the input variables, and then compiling all these partial results into a final output. A DLL library based on this algorithm is then used in an optimization solver based on a reduced‑gradient method. This solver is put into practice to optimize the given cross section characteristics according to prescribed criteria.

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Periodical:

Solid State Phenomena (Volume 249)

Pages:

253-260

DOI:

https://doi.org/10.4028/www.scientific.net/SSP.249.253

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Online since:

April 2016

Authors:

Jakub Venclovský*, Petr Stepanek

Keywords:

Bending Stiffness, Moments of Polygonal Area, Optimization

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